Home / 1,413.29-1,950.46-823.87

Finding the Fourth Proportional to 1,413.29, 1,950.46 and 823.87

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Solution

The fourth proportional to 1,413.29, 1,950.46 and 823.87 is: 1,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.29 : 1,950.46 = 823.87 : x
  2. Step 2: Convert to fraction form
    1,413.29/1,950.46 = 823.87/x
  3. Step 3: Cross multiply
    1,413.29x = 1,950.46 × 823.87
  4. Step 4: Simplify right side
    1,413.29x = 1,606,915.73
  5. Step 5: Solve for x
    x = 1,606,915.73/1,413.29
  6. Step 6: Final answer
    x = 1,137.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.